This Screams Trust me Bro
No, this is just my finding after many attempts to get some answer from chat-gpt. Usually chat-gpt going into loop like this:
>> Q: give me that estimation for params A and B
>> A: the answer is C
>> Q: this is incorrect answer you have mistake on step X and used incorrect formula and on step Y where you get incorrect calculations, fix it
>> A: sorry for that, here is fixed answer D
>> Q: this is incorrect answer you're needs to use formula (J) on step X, fix it
>> A: the answer is E
>> Q: this is incorrect answer, you have mistake on step Z, fix it
>> A: sorry for that, here is fixed answer C
>> Q: this is incorrect answer you have mistake on step X and used incorrect formula and on step Y
....
Just a simple example how chat-gpt doing "calculations":
Q: Here is equation x^x=1000. Solve it.
A: To solve the equation x^x = 1000, we can use numerical methods or an approximation approach. Since there is no simple algebraic method to solve this equation, we will use an iterative method to find an approximate solution.
Let's start by guessing a value for x and then refine it through iterations until we get a close approximation.
Let's try x = 4:
4^4 = 256 (less than 1000)
Let's try x = 5:
5^5 = 3125 (greater than 1000)
Since the solution lies between 4 and 5, we can perform further iterations to narrow down the range.
Let's try x = 4.5:
4.5^4.5 ≈ 620.92 (less than 1000)
Let's try x = 4.6:
4.6^4.6 ≈ 827.93 (less than 1000)
Let's try x = 4.7:
4.7^4.7 ≈ 1099.5 (greater than 1000)
From these iterations, we can see that the solution lies between 4.6 and 4.7.
Continuing with smaller increments, we can find a more accurate solution:
Let's try x = 4.65:
4.65^4.65 ≈ 982.97 (less than 1000)
Let's try x = 4.66:
4.66^4.66 ≈ 1002.82 (greater than 1000)
From this, we can conclude that the approximate solution to the equation x^x = 1000 is x ≈ 4.65.
As you can see it gives you incorrect calculations and as result incorrect answer.
Just FYI:
4.5^4.5 ≈ 620.92 is incorrect, the correct answer is 4.5^4.5 ≈ 869.87
4.6^4.6 ≈ 827.93 is incorrect, the correct answer is 4.6^4.6 ≈ 1118.62
4.7^4.7 ≈ 1099.5 is incorrect, the correct answer is 4.7^4.7 ≈ 1441.65
4.65^4.65 ≈ 982.97 is incorrect, the correct answer is 4.65^4.65 ≈ 1269.57
4.66^4.66 ≈ 1002.82 is incorrect, the correct answer is 4.66^4.66 ≈ 1302.20
The total answer x ≈ 4.65 is incorrect, the correct answer is x ≈ 4.556.
As you can see, chat-gpt just provide you with false calculations and you believe that it's truth, but in reality it is false. The same thing happens with almost any calculations provided by chat-gpt, it almost always has mistakes and misleading you. The same thing happens with formulas, it can provide you with some invalid formula which looks very similar to the truth, but in reality it is false. If you ask chat-gpt where he got that formula it provide you some science paper name. But in reality there is no such science paper, or if it exists, there is no such formula at all. If you notice that there is no such source, or it doesn't have such formula it provide you another science source name, also false. I tried to get the right source, but chat-gpt provided me dozens of non-existent scientific articles or existing but without any mention about formula which he used.
After dozen attempts I realized, that if chat-gpt provided you with false information, you will be unable to get correct answer from chat-gpt, even if you provide detail explanation of every chat-gpt mistake...
You cannot believe chat-gpt, because most of things that it provides you is a false information, but it's very nicely framed, so you won't notice it right away.
The main issue of chat-gpt, is that it provides false and misleading information, but it doing it in that way so it looks like truth and if you don't check every detail in chat-gpt answer, you even didn't notice that you're got false information. That's a problem.